CA18232 - Mathematical models for interacting dynamics on networks (MAT-DYN-NET)

Karamazova Gelova, Elena (2019) CA18232 - Mathematical models for interacting dynamics on networks (MAT-DYN-NET). [Project]

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Abstract

Many physical, biological, chemical, financial or even social phenomena can be described by dynamical
systems. It is quite common that the dynamics arises as a compound effect of the interaction between subsystems in which case we speak about coupled systems. This Action shall study such interactions in
particular cases from three points of view:
1. the abstract approach to the theory behind these systems,
2. applications of the abstract theory to coupled structures like networks, neighbouring domains divided
by permeable membranes, possibly non-homogeneous simplicial complexes, etc.,
3. modelling real-life situations within this framework.
The purpose of this Action is to bring together leading groups in Europe working on a range of issues
connected with modelling and analysing mathematical models for dynamical systems on networks. It aims to
develop a semigroup approach to various (non-)linear dynamical systems on networks as well as numerical
methods based on modern variational methods and applying them to road traffic, biological systems, and
further real-life models. The Action also explores the possibility of estimating solutions and long time
behaviour of these systems by collecting basic combinatorial information about underlying networks.

Item Type:	Project
Subjects:	Natural sciences > Matematics
Divisions:	Faculty of Computer Science
Depositing User:	Elena Karamazova Gelova
Date Deposited:	15 Nov 2022 09:34
Last Modified:	15 Nov 2022 09:34
URI:	https://eprints.ugd.edu.mk/id/eprint/30477

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